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Finding the Fourth Proportional to 11,814.77, 17,713.37 and 5,150.01

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Solution

The fourth proportional to 11,814.77, 17,713.37 and 5,150.01 is: 7,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.77 : 17,713.37 = 5,150.01 : x
  2. Step 2: Convert to fraction form
    11,814.77/17,713.37 = 5,150.01/x
  3. Step 3: Cross multiply
    11,814.77x = 17,713.37 × 5,150.01
  4. Step 4: Simplify right side
    11,814.77x = 91,223,955.24
  5. Step 5: Solve for x
    x = 91,223,955.24/11,814.77
  6. Step 6: Final answer
    x = 7,721.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.